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Finding the Third Proportional to 4,865,610 and 7,008,757.50

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Solution

The third proportional to 4,865,610 and 7,008,757.50 is: 10,095,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865,610 : 7,008,757.50 = 7,008,757.50 : x
  2. Step 2: Convert to fraction form
    4,865,610/7,008,757.50 = 7,008,757.50/x
  3. Step 3: Cross multiply
    4,865,610x = 7,008,757.50 × 7,008,757.50
  4. Step 4: Simplify right side
    4,865,610x = 49,122,681,693,806.25
  5. Step 5: Solve for x
    x = 49,122,681,693,806.25/4,865,610
  6. Step 6: Final answer
    x = 10,095,893.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.